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Finding the Fourth Proportional to 237,959.34, 356,463.12 and 143,137.20

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Solution

The fourth proportional to 237,959.34, 356,463.12 and 143,137.20 is: 214,419.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,959.34 : 356,463.12 = 143,137.20 : x
  2. Step 2: Convert to fraction form
    237,959.34/356,463.12 = 143,137.20/x
  3. Step 3: Cross multiply
    237,959.34x = 356,463.12 × 143,137.20
  4. Step 4: Simplify right side
    237,959.34x = 51,023,132,900.06
  5. Step 5: Solve for x
    x = 51,023,132,900.06/237,959.34
  6. Step 6: Final answer
    x = 214,419.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.